10629073571076 has 81 divisors (see below), whose sum is σ = 28542264408021. Its totient is φ = 3334506989184.

The previous prime is 10629073571069. The next prime is 10629073571101. The reversal of 10629073571076 is 67017537092601.

The square root of 10629073571076 is 3260226.

It is a perfect power (a square), and thus also a powerful number.

10629073571076 is a `hidden beast` number, since 1 + 0 + 62 + 9 + 0 + 7 + 3 + 571 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8275230288900 + 2353843282176 = 2876670^2 + 1534224^2 .

It is a super-2 number, since 2×10629073571076² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 332527071 + ... + 332559033.

Almost surely, 2^{10629073571076} is an apocalyptic number.

10629073571076 is the 3260226-th square number.

It is an amenable number.

10629073571076 is an abundant number, since it is smaller than the sum of its proper divisors (17913190836945).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10629073571076 is an frugal number, since it uses more digits than its factorization.

10629073571076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63970 (or 31985 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 10629073571076 in words is "ten trillion, six hundred twenty-nine billion, seventy-three million, five hundred seventy-one thousand, seventy-six".